Deux caracterisations de la mesure d'equilibre d'un endomorphisme de Pk(C)

Abstract

Let $\mu$ be the equilibrium measure of an endomorphism of ${\mathsf{P}}^k(\mathbf{C})$. We show that it is its unique measure of maximal entropy. We build $\mu$ directly as the distribution of any point outside an algebraic exceptional set.

10 pages